Krishna
0

Step 1: Determine the exact value of the given trigonometric ratio.

              GIVEN:   \cos \frac{7\pi}{2}


                             \theta = \frac{7\pi}{2}


                The given angle is more then 360\degree


                        Since, \frac{7\pi}{2} - 2\pi = \frac{3\pi}{2}


                     \tan \frac{3\pi}{2} = \tan(2\pi + \frac{\pi}{2}


                     \tan \frac{\pi}{2} = \frac{\sin \frac{\pi}{2}}{\cos \frac{\pi}{2}}


                     \tan \frac{\pi}{2} = \frac{-1}{0}               \because \sin \frac{\pi}{2} = -1, \cos \frac{\pi}{2} = 0


                     \tan \frac{\pi}{2} = \infty


                     \tan \frac{7\pi}{2} = \infty